TSTP Solution File: GEO247+3 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:42:34 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(ax3_subs,axiom,
! [L,M,N] :
( left_convergent_lines(L,M)
=> ( unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ) ),
input ).
fof(ax3_subs_0,plain,
! [L,M,N] :
( ~ left_convergent_lines(L,M)
| unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ),
inference(orientation,[status(thm)],[ax3_subs]) ).
fof(ax1_subs,axiom,
! [A,B,L] :
( left_apart_point(A,L)
=> ( distinct_points(A,B)
| left_apart_point(B,L) ) ),
input ).
fof(ax1_subs_0,plain,
! [A,B,L] :
( ~ left_apart_point(A,L)
| distinct_points(A,B)
| left_apart_point(B,L) ),
inference(orientation,[status(thm)],[ax1_subs]) ).
fof(ax10_cons_objs,axiom,
! [A,L] : equally_directed_lines(parallel_through_point(L,A),L),
input ).
fof(ax10_cons_objs_0,plain,
! [A,L] :
( equally_directed_lines(parallel_through_point(L,A),L)
| $false ),
inference(orientation,[status(thm)],[ax10_cons_objs]) ).
fof(ax9_cons_objs,axiom,
! [A,B] :
( distinct_points(A,B)
=> equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
input ).
fof(ax9_cons_objs_0,plain,
! [A,B] :
( ~ distinct_points(A,B)
| equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
inference(orientation,[status(thm)],[ax9_cons_objs]) ).
fof(ax8_cons_objs,axiom,
! [L] : ~ distinct_lines(L,reverse_line(L)),
input ).
fof(ax8_cons_objs_0,plain,
! [L] :
( ~ distinct_lines(L,reverse_line(L))
| $false ),
inference(orientation,[status(thm)],[ax8_cons_objs]) ).
fof(ax7_cons_objs,axiom,
! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A)),
input ).
fof(ax7_cons_objs_0,plain,
! [A,L] :
( ~ apart_point_and_line(A,parallel_through_point(L,A))
| $false ),
inference(orientation,[status(thm)],[ax7_cons_objs]) ).
fof(ax5_cons_objs,axiom,
! [A,B] :
( distinct_points(A,B)
=> ( ~ apart_point_and_line(A,line_connecting(A,B))
& ~ apart_point_and_line(B,line_connecting(A,B)) ) ),
input ).
fof(ax5_cons_objs_0,plain,
! [A,B] :
( ~ distinct_points(A,B)
| ( ~ apart_point_and_line(A,line_connecting(A,B))
& ~ apart_point_and_line(B,line_connecting(A,B)) ) ),
inference(orientation,[status(thm)],[ax5_cons_objs]) ).
fof(ax4_cons_objs,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
input ).
fof(ax4_cons_objs_0,plain,
! [L] :
( ~ line(L)
| line(reverse_line(L)) ),
inference(orientation,[status(thm)],[ax4_cons_objs]) ).
fof(ax3_cons_objs,axiom,
! [L,A] :
( ( point(A)
& line(L) )
=> line(parallel_through_point(L,A)) ),
input ).
fof(ax3_cons_objs_0,plain,
! [A,L] :
( line(parallel_through_point(L,A))
| ~ ( point(A)
& line(L) ) ),
inference(orientation,[status(thm)],[ax3_cons_objs]) ).
fof(ax2_cons_objs,axiom,
! [L,M] :
( ( line(L)
& line(M)
& unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> point(intersection_point(L,M)) ),
input ).
fof(ax2_cons_objs_0,plain,
! [L,M] :
( point(intersection_point(L,M))
| ~ ( line(L)
& line(M)
& unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(orientation,[status(thm)],[ax2_cons_objs]) ).
fof(ax1_cons_objs,axiom,
! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> line(line_connecting(A,B)) ),
input ).
fof(ax1_cons_objs_0,plain,
! [A,B] :
( line(line_connecting(A,B))
| ~ ( point(A)
& point(B)
& distinct_points(A,B) ) ),
inference(orientation,[status(thm)],[ax1_cons_objs]) ).
fof(ax6_basics,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
input ).
fof(ax6_basics_0,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(orientation,[status(thm)],[ax6_basics]) ).
fof(ax5_basics,axiom,
! [L] : equally_directed_lines(L,L),
input ).
fof(ax5_basics_0,plain,
! [L] :
( equally_directed_lines(L,L)
| $false ),
inference(orientation,[status(thm)],[ax5_basics]) ).
fof(ax4_basics,axiom,
! [L,M,N] :
( distinct_lines(L,M)
=> ( distinct_lines(L,N)
| distinct_lines(M,N) ) ),
input ).
fof(ax4_basics_0,plain,
! [L,M,N] :
( ~ distinct_lines(L,M)
| distinct_lines(L,N)
| distinct_lines(M,N) ),
inference(orientation,[status(thm)],[ax4_basics]) ).
fof(ax3_basics,axiom,
! [L] : ~ distinct_lines(L,L),
input ).
fof(ax3_basics_0,plain,
! [L] :
( ~ distinct_lines(L,L)
| $false ),
inference(orientation,[status(thm)],[ax3_basics]) ).
fof(ax2_basics,axiom,
! [A,B,C] :
( distinct_points(A,B)
=> ( distinct_points(A,C)
| distinct_points(B,C) ) ),
input ).
fof(ax2_basics_0,plain,
! [A,B,C] :
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(orientation,[status(thm)],[ax2_basics]) ).
fof(ax1_basics,axiom,
! [A] : ~ distinct_points(A,A),
input ).
fof(ax1_basics_0,plain,
! [A] :
( ~ distinct_points(A,A)
| $false ),
inference(orientation,[status(thm)],[ax1_basics]) ).
fof(a9_defns,axiom,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
<=> ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ) ),
input ).
fof(a9_defns_0,plain,
! [A,B,C,L] :
( between_on_line(L,A,B,C)
| ~ ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ) ),
inference(orientation,[status(thm)],[a9_defns]) ).
fof(a9_defns_1,plain,
! [A,B,C,L] :
( ~ between_on_line(L,A,B,C)
| ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ),
inference(orientation,[status(thm)],[a9_defns]) ).
fof(ax4_defns,axiom,
! [L,A,B] :
( before_on_line(L,A,B)
<=> ( distinct_points(A,B)
& incident_point_and_line(A,L)
& incident_point_and_line(B,L)
& equally_directed_lines(L,line_connecting(A,B)) ) ),
input ).
fof(ax4_defns_0,plain,
! [A,B,L] :
( before_on_line(L,A,B)
| ~ ( distinct_points(A,B)
& incident_point_and_line(A,L)
& incident_point_and_line(B,L)
& equally_directed_lines(L,line_connecting(A,B)) ) ),
inference(orientation,[status(thm)],[ax4_defns]) ).
fof(ax4_defns_1,plain,
! [A,B,L] :
( ~ before_on_line(L,A,B)
| ( distinct_points(A,B)
& incident_point_and_line(A,L)
& incident_point_and_line(B,L)
& equally_directed_lines(L,line_connecting(A,B)) ) ),
inference(orientation,[status(thm)],[ax4_defns]) ).
fof(a8_defns,axiom,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) ) ),
input ).
fof(a8_defns_0,plain,
! [A,B,L] :
( divides_points(L,A,B)
| ~ ( ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) ) ),
inference(orientation,[status(thm)],[a8_defns]) ).
fof(a8_defns_1,plain,
! [A,B,L] :
( ~ divides_points(L,A,B)
| ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) ),
inference(orientation,[status(thm)],[a8_defns]) ).
fof(a7_defns,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
input ).
fof(a7_defns_0,plain,
! [L,M] :
( convergent_lines(L,M)
| ~ ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
inference(orientation,[status(thm)],[a7_defns]) ).
fof(a7_defns_1,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
inference(orientation,[status(thm)],[a7_defns]) ).
fof(a6_defns,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| right_apart_point(A,L) ) ),
input ).
fof(a6_defns_0,plain,
! [A,L] :
( apart_point_and_line(A,L)
| ~ ( left_apart_point(A,L)
| right_apart_point(A,L) ) ),
inference(orientation,[status(thm)],[a6_defns]) ).
fof(a6_defns_1,plain,
! [A,L] :
( ~ apart_point_and_line(A,L)
| left_apart_point(A,L)
| right_apart_point(A,L) ),
inference(orientation,[status(thm)],[a6_defns]) ).
fof(a5_defns,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
input ).
fof(a5_defns_0,plain,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference(orientation,[status(thm)],[a5_defns]) ).
fof(a5_defns_1,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(orientation,[status(thm)],[a5_defns]) ).
fof(a4_defns,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
input ).
fof(a4_defns_0,plain,
! [X,Y] :
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ),
inference(orientation,[status(thm)],[a4_defns]) ).
fof(a4_defns_1,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
inference(orientation,[status(thm)],[a4_defns]) ).
fof(a3_defns,axiom,
! [X,Y] :
( right_convergent_lines(X,Y)
<=> left_convergent_lines(X,reverse_line(Y)) ),
input ).
fof(a3_defns_0,plain,
! [X,Y] :
( right_convergent_lines(X,Y)
| ~ left_convergent_lines(X,reverse_line(Y)) ),
inference(orientation,[status(thm)],[a3_defns]) ).
fof(a3_defns_1,plain,
! [X,Y] :
( ~ right_convergent_lines(X,Y)
| left_convergent_lines(X,reverse_line(Y)) ),
inference(orientation,[status(thm)],[a3_defns]) ).
fof(a2_defns,axiom,
! [X,Y] :
( right_apart_point(X,Y)
<=> left_apart_point(X,reverse_line(Y)) ),
input ).
fof(a2_defns_0,plain,
! [X,Y] :
( right_apart_point(X,Y)
| ~ left_apart_point(X,reverse_line(Y)) ),
inference(orientation,[status(thm)],[a2_defns]) ).
fof(a2_defns_1,plain,
! [X,Y] :
( ~ right_apart_point(X,Y)
| left_apart_point(X,reverse_line(Y)) ),
inference(orientation,[status(thm)],[a2_defns]) ).
fof(a1_defns,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
input ).
fof(a1_defns_0,plain,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
inference(orientation,[status(thm)],[a1_defns]) ).
fof(a1_defns_1,plain,
! [X,Y] :
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference(orientation,[status(thm)],[a1_defns]) ).
fof(def_lhs_atom1,axiom,
! [Y,X] :
( lhs_atom1(Y,X)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X,Y] :
( lhs_atom1(Y,X)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference(fold_definition,[status(thm)],[a1_defns_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [Y,X] :
( lhs_atom2(Y,X)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X,Y] :
( lhs_atom2(Y,X)
| ~ unequally_directed_lines(X,reverse_line(Y)) ),
inference(fold_definition,[status(thm)],[a1_defns_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [Y,X] :
( lhs_atom3(Y,X)
<=> ~ right_apart_point(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X,Y] :
( lhs_atom3(Y,X)
| left_apart_point(X,reverse_line(Y)) ),
inference(fold_definition,[status(thm)],[a2_defns_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [Y,X] :
( lhs_atom4(Y,X)
<=> right_apart_point(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [X,Y] :
( lhs_atom4(Y,X)
| ~ left_apart_point(X,reverse_line(Y)) ),
inference(fold_definition,[status(thm)],[a2_defns_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [Y,X] :
( lhs_atom5(Y,X)
<=> ~ right_convergent_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [X,Y] :
( lhs_atom5(Y,X)
| left_convergent_lines(X,reverse_line(Y)) ),
inference(fold_definition,[status(thm)],[a3_defns_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [Y,X] :
( lhs_atom6(Y,X)
<=> right_convergent_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [X,Y] :
( lhs_atom6(Y,X)
| ~ left_convergent_lines(X,reverse_line(Y)) ),
inference(fold_definition,[status(thm)],[a3_defns_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [Y,X] :
( lhs_atom7(Y,X)
<=> ~ equally_directed_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [X,Y] :
( lhs_atom7(Y,X)
| ~ unequally_directed_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a4_defns_1,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [Y,X] :
( lhs_atom8(Y,X)
<=> equally_directed_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [X,Y] :
( lhs_atom8(Y,X)
| unequally_directed_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a4_defns_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [Y,X] :
( lhs_atom9(Y,X)
<=> ~ equally_directed_opposite_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [X,Y] :
( lhs_atom9(Y,X)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a5_defns_1,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [Y,X] :
( lhs_atom10(Y,X)
<=> equally_directed_opposite_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [X,Y] :
( lhs_atom10(Y,X)
| unequally_directed_opposite_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a5_defns_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [L,A] :
( lhs_atom11(L,A)
<=> ~ apart_point_and_line(A,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [A,L] :
( lhs_atom11(L,A)
| left_apart_point(A,L)
| right_apart_point(A,L) ),
inference(fold_definition,[status(thm)],[a6_defns_1,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [L,A] :
( lhs_atom12(L,A)
<=> apart_point_and_line(A,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [A,L] :
( lhs_atom12(L,A)
| ~ ( left_apart_point(A,L)
| right_apart_point(A,L) ) ),
inference(fold_definition,[status(thm)],[a6_defns_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [M,L] :
( lhs_atom13(M,L)
<=> ~ convergent_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [L,M] :
( lhs_atom13(M,L)
| ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
inference(fold_definition,[status(thm)],[a7_defns_1,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [M,L] :
( lhs_atom14(M,L)
<=> convergent_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [L,M] :
( lhs_atom14(M,L)
| ~ ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
inference(fold_definition,[status(thm)],[a7_defns_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [L,B,A] :
( lhs_atom15(L,B,A)
<=> ~ divides_points(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [A,B,L] :
( lhs_atom15(L,B,A)
| ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) ),
inference(fold_definition,[status(thm)],[a8_defns_1,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [L,B,A] :
( lhs_atom16(L,B,A)
<=> divides_points(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [A,B,L] :
( lhs_atom16(L,B,A)
| ~ ( ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) ) ),
inference(fold_definition,[status(thm)],[a8_defns_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [L,B,A] :
( lhs_atom17(L,B,A)
<=> ~ before_on_line(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [A,B,L] :
( lhs_atom17(L,B,A)
| ( distinct_points(A,B)
& incident_point_and_line(A,L)
& incident_point_and_line(B,L)
& equally_directed_lines(L,line_connecting(A,B)) ) ),
inference(fold_definition,[status(thm)],[ax4_defns_1,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [L,B,A] :
( lhs_atom18(L,B,A)
<=> before_on_line(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A,B,L] :
( lhs_atom18(L,B,A)
| ~ ( distinct_points(A,B)
& incident_point_and_line(A,L)
& incident_point_and_line(B,L)
& equally_directed_lines(L,line_connecting(A,B)) ) ),
inference(fold_definition,[status(thm)],[ax4_defns_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [L,C,B,A] :
( lhs_atom19(L,C,B,A)
<=> ~ between_on_line(L,A,B,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [A,B,C,L] :
( lhs_atom19(L,C,B,A)
| ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ),
inference(fold_definition,[status(thm)],[a9_defns_1,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [L,C,B,A] :
( lhs_atom20(L,C,B,A)
<=> between_on_line(L,A,B,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A,B,C,L] :
( lhs_atom20(L,C,B,A)
| ~ ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ) ),
inference(fold_definition,[status(thm)],[a9_defns_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [A] :
( lhs_atom21(A)
<=> ~ distinct_points(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom21(A)
| $false ),
inference(fold_definition,[status(thm)],[ax1_basics_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [B,A] :
( lhs_atom22(B,A)
<=> ~ distinct_points(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,B,C] :
( lhs_atom22(B,A)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(fold_definition,[status(thm)],[ax2_basics_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [L] :
( lhs_atom23(L)
<=> ~ distinct_lines(L,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [L] :
( lhs_atom23(L)
| $false ),
inference(fold_definition,[status(thm)],[ax3_basics_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [M,L] :
( lhs_atom24(M,L)
<=> ~ distinct_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [L,M,N] :
( lhs_atom24(M,L)
| distinct_lines(L,N)
| distinct_lines(M,N) ),
inference(fold_definition,[status(thm)],[ax4_basics_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [L] :
( lhs_atom25(L)
<=> equally_directed_lines(L,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [L] :
( lhs_atom25(L)
| $false ),
inference(fold_definition,[status(thm)],[ax5_basics_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [M,L] :
( lhs_atom26(M,L)
<=> ~ unequally_directed_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [L,M,N] :
( lhs_atom26(M,L)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(fold_definition,[status(thm)],[ax6_basics_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [B,A] :
( lhs_atom27(B,A)
<=> line(line_connecting(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [A,B] :
( lhs_atom27(B,A)
| ~ ( point(A)
& point(B)
& distinct_points(A,B) ) ),
inference(fold_definition,[status(thm)],[ax1_cons_objs_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [M,L] :
( lhs_atom28(M,L)
<=> point(intersection_point(L,M)) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [L,M] :
( lhs_atom28(M,L)
| ~ ( line(L)
& line(M)
& unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(fold_definition,[status(thm)],[ax2_cons_objs_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [L,A] :
( lhs_atom29(L,A)
<=> line(parallel_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [A,L] :
( lhs_atom29(L,A)
| ~ ( point(A)
& line(L) ) ),
inference(fold_definition,[status(thm)],[ax3_cons_objs_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [L] :
( lhs_atom30(L)
<=> ~ line(L) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [L] :
( lhs_atom30(L)
| line(reverse_line(L)) ),
inference(fold_definition,[status(thm)],[ax4_cons_objs_0,def_lhs_atom30]) ).
fof(to_be_clausified_30,plain,
! [A,B] :
( lhs_atom22(B,A)
| ( ~ apart_point_and_line(A,line_connecting(A,B))
& ~ apart_point_and_line(B,line_connecting(A,B)) ) ),
inference(fold_definition,[status(thm)],[ax5_cons_objs_0,def_lhs_atom22]) ).
fof(def_lhs_atom31,axiom,
! [L,A] :
( lhs_atom31(L,A)
<=> ~ apart_point_and_line(A,parallel_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [A,L] :
( lhs_atom31(L,A)
| $false ),
inference(fold_definition,[status(thm)],[ax7_cons_objs_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [L] :
( lhs_atom32(L)
<=> ~ distinct_lines(L,reverse_line(L)) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [L] :
( lhs_atom32(L)
| $false ),
inference(fold_definition,[status(thm)],[ax8_cons_objs_0,def_lhs_atom32]) ).
fof(to_be_clausified_33,plain,
! [A,B] :
( lhs_atom22(B,A)
| equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
inference(fold_definition,[status(thm)],[ax9_cons_objs_0,def_lhs_atom22]) ).
fof(def_lhs_atom33,axiom,
! [L,A] :
( lhs_atom33(L,A)
<=> equally_directed_lines(parallel_through_point(L,A),L) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [A,L] :
( lhs_atom33(L,A)
| $false ),
inference(fold_definition,[status(thm)],[ax10_cons_objs_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [L,A] :
( lhs_atom34(L,A)
<=> ~ left_apart_point(A,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [A,B,L] :
( lhs_atom34(L,A)
| distinct_points(A,B)
| left_apart_point(B,L) ),
inference(fold_definition,[status(thm)],[ax1_subs_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [M,L] :
( lhs_atom35(M,L)
<=> ~ left_convergent_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [L,M,N] :
( lhs_atom35(M,L)
| unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ),
inference(fold_definition,[status(thm)],[ax3_subs_0,def_lhs_atom35]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X7,X6,X4] :
( lhs_atom20(X3,X7,X6,X4)
| ~ ( ( before_on_line(X3,X4,X6)
& before_on_line(X3,X6,X7) )
| ( before_on_line(X3,X7,X6)
& before_on_line(X3,X6,X4) ) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_1,axiom,
! [X3,X7,X6,X4] :
( lhs_atom19(X3,X7,X6,X4)
| ( before_on_line(X3,X4,X6)
& before_on_line(X3,X6,X7) )
| ( before_on_line(X3,X7,X6)
& before_on_line(X3,X6,X4) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_2,axiom,
! [X3,X6,X4] :
( lhs_atom18(X3,X6,X4)
| ~ ( distinct_points(X4,X6)
& incident_point_and_line(X4,X3)
& incident_point_and_line(X6,X3)
& equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_3,axiom,
! [X6,X4] :
( lhs_atom22(X6,X4)
| equally_directed_lines(line_connecting(X4,X6),reverse_line(line_connecting(X6,X4))) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_4,axiom,
! [X3,X6,X4] :
( lhs_atom16(X3,X6,X4)
| ~ ( ( left_apart_point(X4,X3)
& right_apart_point(X6,X3) )
| ( right_apart_point(X4,X3)
& left_apart_point(X6,X3) ) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_5,axiom,
! [X3,X6,X4] :
( lhs_atom17(X3,X6,X4)
| ( distinct_points(X4,X6)
& incident_point_and_line(X4,X3)
& incident_point_and_line(X6,X3)
& equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_6,axiom,
! [X5,X3] :
( lhs_atom28(X5,X3)
| ~ ( line(X3)
& line(X5)
& unequally_directed_lines(X3,X5)
& unequally_directed_lines(X3,reverse_line(X5)) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_7,axiom,
! [X3,X6,X4] :
( lhs_atom15(X3,X6,X4)
| ( left_apart_point(X4,X3)
& right_apart_point(X6,X3) )
| ( right_apart_point(X4,X3)
& left_apart_point(X6,X3) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_8,axiom,
! [X6,X4] :
( lhs_atom22(X6,X4)
| ( ~ apart_point_and_line(X4,line_connecting(X4,X6))
& ~ apart_point_and_line(X6,line_connecting(X4,X6)) ) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_9,axiom,
! [X5,X3] :
( lhs_atom14(X5,X3)
| ~ ( unequally_directed_lines(X3,X5)
& unequally_directed_opposite_lines(X3,X5) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_10,axiom,
! [X6,X4] :
( lhs_atom27(X6,X4)
| ~ ( point(X4)
& point(X6)
& distinct_points(X4,X6) ) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ left_convergent_lines(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ left_apart_point(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_13,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ unequally_directed_lines(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_14,axiom,
! [X8,X5,X3] :
( lhs_atom35(X5,X3)
| unequally_directed_lines(X5,X8)
| left_convergent_lines(X3,X8) ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_15,axiom,
! [X3,X6,X4] :
( lhs_atom34(X3,X4)
| distinct_points(X4,X6)
| left_apart_point(X6,X3) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_16,axiom,
! [X8,X5,X3] :
( lhs_atom26(X5,X3)
| unequally_directed_lines(X3,X8)
| unequally_directed_lines(X5,X8) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_17,axiom,
! [X8,X5,X3] :
( lhs_atom24(X5,X3)
| distinct_lines(X3,X8)
| distinct_lines(X5,X8) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_18,axiom,
! [X7,X6,X4] :
( lhs_atom22(X6,X4)
| distinct_points(X4,X7)
| distinct_points(X6,X7) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_19,axiom,
! [X3,X4] :
( lhs_atom11(X3,X4)
| left_apart_point(X4,X3)
| right_apart_point(X4,X3) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_20,axiom,
! [X3,X4] :
( lhs_atom12(X3,X4)
| ~ ( left_apart_point(X4,X3)
| right_apart_point(X4,X3) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_21,axiom,
! [X1,X2] :
( lhs_atom9(X1,X2)
| ~ unequally_directed_opposite_lines(X2,X1) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_22,axiom,
! [X1,X2] :
( lhs_atom7(X1,X2)
| ~ unequally_directed_lines(X2,X1) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_23,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| left_convergent_lines(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_24,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| left_apart_point(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_25,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| unequally_directed_lines(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_26,axiom,
! [X5,X3] :
( lhs_atom13(X5,X3)
| ( unequally_directed_lines(X3,X5)
& unequally_directed_opposite_lines(X3,X5) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_27,axiom,
! [X1,X2] :
( lhs_atom10(X1,X2)
| unequally_directed_opposite_lines(X2,X1) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_28,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| unequally_directed_lines(X2,X1) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_29,axiom,
! [X3,X4] :
( lhs_atom29(X3,X4)
| ~ ( point(X4)
& line(X3) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_30,axiom,
! [X3] :
( lhs_atom30(X3)
| line(reverse_line(X3)) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_31,axiom,
! [X3,X4] :
( lhs_atom33(X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_32,axiom,
! [X3,X4] :
( lhs_atom31(X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_33,axiom,
! [X3] :
( lhs_atom32(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_34,axiom,
! [X3] :
( lhs_atom25(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_35,axiom,
! [X3] :
( lhs_atom23(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_36,axiom,
! [X4] :
( lhs_atom21(X4)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_37,axiom,
! [X3,X7,X6,X4] :
( lhs_atom20(X3,X7,X6,X4)
| ~ ( ( before_on_line(X3,X4,X6)
& before_on_line(X3,X6,X7) )
| ( before_on_line(X3,X7,X6)
& before_on_line(X3,X6,X4) ) ) ),
c_0_0 ).
fof(c_0_38,axiom,
! [X3,X7,X6,X4] :
( lhs_atom19(X3,X7,X6,X4)
| ( before_on_line(X3,X4,X6)
& before_on_line(X3,X6,X7) )
| ( before_on_line(X3,X7,X6)
& before_on_line(X3,X6,X4) ) ),
c_0_1 ).
fof(c_0_39,axiom,
! [X3,X6,X4] :
( lhs_atom18(X3,X6,X4)
| ~ ( distinct_points(X4,X6)
& incident_point_and_line(X4,X3)
& incident_point_and_line(X6,X3)
& equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
c_0_2 ).
fof(c_0_40,axiom,
! [X6,X4] :
( lhs_atom22(X6,X4)
| equally_directed_lines(line_connecting(X4,X6),reverse_line(line_connecting(X6,X4))) ),
c_0_3 ).
fof(c_0_41,axiom,
! [X3,X6,X4] :
( lhs_atom16(X3,X6,X4)
| ~ ( ( left_apart_point(X4,X3)
& right_apart_point(X6,X3) )
| ( right_apart_point(X4,X3)
& left_apart_point(X6,X3) ) ) ),
c_0_4 ).
fof(c_0_42,axiom,
! [X3,X6,X4] :
( lhs_atom17(X3,X6,X4)
| ( distinct_points(X4,X6)
& incident_point_and_line(X4,X3)
& incident_point_and_line(X6,X3)
& equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
c_0_5 ).
fof(c_0_43,axiom,
! [X5,X3] :
( lhs_atom28(X5,X3)
| ~ ( line(X3)
& line(X5)
& unequally_directed_lines(X3,X5)
& unequally_directed_lines(X3,reverse_line(X5)) ) ),
c_0_6 ).
fof(c_0_44,axiom,
! [X3,X6,X4] :
( lhs_atom15(X3,X6,X4)
| ( left_apart_point(X4,X3)
& right_apart_point(X6,X3) )
| ( right_apart_point(X4,X3)
& left_apart_point(X6,X3) ) ),
c_0_7 ).
fof(c_0_45,plain,
! [X6,X4] :
( lhs_atom22(X6,X4)
| ( ~ apart_point_and_line(X4,line_connecting(X4,X6))
& ~ apart_point_and_line(X6,line_connecting(X4,X6)) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_46,axiom,
! [X5,X3] :
( lhs_atom14(X5,X3)
| ~ ( unequally_directed_lines(X3,X5)
& unequally_directed_opposite_lines(X3,X5) ) ),
c_0_9 ).
fof(c_0_47,axiom,
! [X6,X4] :
( lhs_atom27(X6,X4)
| ~ ( point(X4)
& point(X6)
& distinct_points(X4,X6) ) ),
c_0_10 ).
fof(c_0_48,plain,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ left_convergent_lines(X2,reverse_line(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_49,plain,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ left_apart_point(X2,reverse_line(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_50,plain,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ unequally_directed_lines(X2,reverse_line(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_51,axiom,
! [X8,X5,X3] :
( lhs_atom35(X5,X3)
| unequally_directed_lines(X5,X8)
| left_convergent_lines(X3,X8) ),
c_0_14 ).
fof(c_0_52,axiom,
! [X3,X6,X4] :
( lhs_atom34(X3,X4)
| distinct_points(X4,X6)
| left_apart_point(X6,X3) ),
c_0_15 ).
fof(c_0_53,axiom,
! [X8,X5,X3] :
( lhs_atom26(X5,X3)
| unequally_directed_lines(X3,X8)
| unequally_directed_lines(X5,X8) ),
c_0_16 ).
fof(c_0_54,axiom,
! [X8,X5,X3] :
( lhs_atom24(X5,X3)
| distinct_lines(X3,X8)
| distinct_lines(X5,X8) ),
c_0_17 ).
fof(c_0_55,axiom,
! [X7,X6,X4] :
( lhs_atom22(X6,X4)
| distinct_points(X4,X7)
| distinct_points(X6,X7) ),
c_0_18 ).
fof(c_0_56,axiom,
! [X3,X4] :
( lhs_atom11(X3,X4)
| left_apart_point(X4,X3)
| right_apart_point(X4,X3) ),
c_0_19 ).
fof(c_0_57,axiom,
! [X3,X4] :
( lhs_atom12(X3,X4)
| ~ ( left_apart_point(X4,X3)
| right_apart_point(X4,X3) ) ),
c_0_20 ).
fof(c_0_58,plain,
! [X1,X2] :
( lhs_atom9(X1,X2)
| ~ unequally_directed_opposite_lines(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_59,plain,
! [X1,X2] :
( lhs_atom7(X1,X2)
| ~ unequally_directed_lines(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_60,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| left_convergent_lines(X2,reverse_line(X1)) ),
c_0_23 ).
fof(c_0_61,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| left_apart_point(X2,reverse_line(X1)) ),
c_0_24 ).
fof(c_0_62,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| unequally_directed_lines(X2,reverse_line(X1)) ),
c_0_25 ).
fof(c_0_63,axiom,
! [X5,X3] :
( lhs_atom13(X5,X3)
| ( unequally_directed_lines(X3,X5)
& unequally_directed_opposite_lines(X3,X5) ) ),
c_0_26 ).
fof(c_0_64,axiom,
! [X1,X2] :
( lhs_atom10(X1,X2)
| unequally_directed_opposite_lines(X2,X1) ),
c_0_27 ).
fof(c_0_65,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| unequally_directed_lines(X2,X1) ),
c_0_28 ).
fof(c_0_66,axiom,
! [X3,X4] :
( lhs_atom29(X3,X4)
| ~ ( point(X4)
& line(X3) ) ),
c_0_29 ).
fof(c_0_67,axiom,
! [X3] :
( lhs_atom30(X3)
| line(reverse_line(X3)) ),
c_0_30 ).
fof(c_0_68,plain,
! [X3,X4] : lhs_atom33(X3,X4),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_69,plain,
! [X3,X4] : lhs_atom31(X3,X4),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_70,plain,
! [X3] : lhs_atom32(X3),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_71,plain,
! [X3] : lhs_atom25(X3),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_72,plain,
! [X3] : lhs_atom23(X3),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_73,plain,
! [X4] : lhs_atom21(X4),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_74,plain,
! [X8,X9,X10,X11] :
( ( ~ before_on_line(X8,X11,X10)
| ~ before_on_line(X8,X10,X9)
| lhs_atom20(X8,X9,X10,X11) )
& ( ~ before_on_line(X8,X9,X10)
| ~ before_on_line(X8,X10,X11)
| lhs_atom20(X8,X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_75,plain,
! [X8,X9,X10,X11] :
( ( before_on_line(X8,X9,X10)
| before_on_line(X8,X11,X10)
| lhs_atom19(X8,X9,X10,X11) )
& ( before_on_line(X8,X10,X11)
| before_on_line(X8,X11,X10)
| lhs_atom19(X8,X9,X10,X11) )
& ( before_on_line(X8,X9,X10)
| before_on_line(X8,X10,X9)
| lhs_atom19(X8,X9,X10,X11) )
& ( before_on_line(X8,X10,X11)
| before_on_line(X8,X10,X9)
| lhs_atom19(X8,X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_76,plain,
! [X7,X8,X9] :
( lhs_atom18(X7,X8,X9)
| ~ distinct_points(X9,X8)
| ~ incident_point_and_line(X9,X7)
| ~ incident_point_and_line(X8,X7)
| ~ equally_directed_lines(X7,line_connecting(X9,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
fof(c_0_77,plain,
! [X7,X8] :
( lhs_atom22(X7,X8)
| equally_directed_lines(line_connecting(X8,X7),reverse_line(line_connecting(X7,X8))) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_78,plain,
! [X7,X8,X9] :
( ( ~ left_apart_point(X9,X7)
| ~ right_apart_point(X8,X7)
| lhs_atom16(X7,X8,X9) )
& ( ~ right_apart_point(X9,X7)
| ~ left_apart_point(X8,X7)
| lhs_atom16(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_79,plain,
! [X7,X8,X9] :
( ( distinct_points(X9,X8)
| lhs_atom17(X7,X8,X9) )
& ( incident_point_and_line(X9,X7)
| lhs_atom17(X7,X8,X9) )
& ( incident_point_and_line(X8,X7)
| lhs_atom17(X7,X8,X9) )
& ( equally_directed_lines(X7,line_connecting(X9,X8))
| lhs_atom17(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_80,plain,
! [X6,X7] :
( lhs_atom28(X6,X7)
| ~ line(X7)
| ~ line(X6)
| ~ unequally_directed_lines(X7,X6)
| ~ unequally_directed_lines(X7,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_81,plain,
! [X7,X8,X9] :
( ( right_apart_point(X9,X7)
| left_apart_point(X9,X7)
| lhs_atom15(X7,X8,X9) )
& ( left_apart_point(X8,X7)
| left_apart_point(X9,X7)
| lhs_atom15(X7,X8,X9) )
& ( right_apart_point(X9,X7)
| right_apart_point(X8,X7)
| lhs_atom15(X7,X8,X9) )
& ( left_apart_point(X8,X7)
| right_apart_point(X8,X7)
| lhs_atom15(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_82,plain,
! [X7,X8] :
( ( ~ apart_point_and_line(X8,line_connecting(X8,X7))
| lhs_atom22(X7,X8) )
& ( ~ apart_point_and_line(X7,line_connecting(X8,X7))
| lhs_atom22(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
fof(c_0_83,plain,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ~ unequally_directed_lines(X7,X6)
| ~ unequally_directed_opposite_lines(X7,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_84,plain,
! [X7,X8] :
( lhs_atom27(X7,X8)
| ~ point(X8)
| ~ point(X7)
| ~ distinct_points(X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_85,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ left_convergent_lines(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_86,plain,
! [X3,X4] :
( lhs_atom4(X3,X4)
| ~ left_apart_point(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_87,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| ~ unequally_directed_lines(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_88,plain,
! [X9,X10,X11] :
( lhs_atom35(X10,X11)
| unequally_directed_lines(X10,X9)
| left_convergent_lines(X11,X9) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_89,plain,
! [X7,X8,X9] :
( lhs_atom34(X7,X9)
| distinct_points(X9,X8)
| left_apart_point(X8,X7) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_90,plain,
! [X9,X10,X11] :
( lhs_atom26(X10,X11)
| unequally_directed_lines(X11,X9)
| unequally_directed_lines(X10,X9) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_91,plain,
! [X9,X10,X11] :
( lhs_atom24(X10,X11)
| distinct_lines(X11,X9)
| distinct_lines(X10,X9) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_92,plain,
! [X8,X9,X10] :
( lhs_atom22(X9,X10)
| distinct_points(X10,X8)
| distinct_points(X9,X8) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_93,plain,
! [X5,X6] :
( lhs_atom11(X5,X6)
| left_apart_point(X6,X5)
| right_apart_point(X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_94,plain,
! [X5,X6] :
( ( ~ left_apart_point(X6,X5)
| lhs_atom12(X5,X6) )
& ( ~ right_apart_point(X6,X5)
| lhs_atom12(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
fof(c_0_95,plain,
! [X3,X4] :
( lhs_atom9(X3,X4)
| ~ unequally_directed_opposite_lines(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_96,plain,
! [X3,X4] :
( lhs_atom7(X3,X4)
| ~ unequally_directed_lines(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_97,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| left_convergent_lines(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_98,plain,
! [X3,X4] :
( lhs_atom3(X3,X4)
| left_apart_point(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_99,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| unequally_directed_lines(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_100,plain,
! [X6,X7] :
( ( unequally_directed_lines(X7,X6)
| lhs_atom13(X6,X7) )
& ( unequally_directed_opposite_lines(X7,X6)
| lhs_atom13(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).
fof(c_0_101,plain,
! [X3,X4] :
( lhs_atom10(X3,X4)
| unequally_directed_opposite_lines(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_102,plain,
! [X3,X4] :
( lhs_atom8(X3,X4)
| unequally_directed_lines(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_103,plain,
! [X5,X6] :
( lhs_atom29(X5,X6)
| ~ point(X6)
| ~ line(X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).
fof(c_0_104,plain,
! [X4] :
( lhs_atom30(X4)
| line(reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_105,plain,
! [X5,X6] : lhs_atom33(X5,X6),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_106,plain,
! [X5,X6] : lhs_atom31(X5,X6),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_107,plain,
! [X4] : lhs_atom32(X4),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_108,plain,
! [X4] : lhs_atom25(X4),
inference(variable_rename,[status(thm)],[c_0_71]) ).
fof(c_0_109,plain,
! [X4] : lhs_atom23(X4),
inference(variable_rename,[status(thm)],[c_0_72]) ).
fof(c_0_110,plain,
! [X5] : lhs_atom21(X5),
inference(variable_rename,[status(thm)],[c_0_73]) ).
cnf(c_0_111,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X2)
| ~ before_on_line(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_112,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_113,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_114,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_115,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_116,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_117,plain,
( lhs_atom18(X1,X3,X2)
| ~ equally_directed_lines(X1,line_connecting(X2,X3))
| ~ incident_point_and_line(X3,X1)
| ~ incident_point_and_line(X2,X1)
| ~ distinct_points(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_118,plain,
( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
| lhs_atom22(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_119,plain,
( lhs_atom16(X1,X2,X3)
| ~ right_apart_point(X2,X1)
| ~ left_apart_point(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_120,plain,
( lhs_atom16(X1,X2,X3)
| ~ left_apart_point(X2,X1)
| ~ right_apart_point(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_121,plain,
( lhs_atom17(X1,X2,X3)
| equally_directed_lines(X1,line_connecting(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_122,plain,
( lhs_atom28(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_123,plain,
( lhs_atom15(X1,X2,X3)
| left_apart_point(X3,X1)
| right_apart_point(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_124,plain,
( lhs_atom15(X1,X2,X3)
| left_apart_point(X3,X1)
| left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_125,plain,
( lhs_atom15(X1,X2,X3)
| right_apart_point(X2,X1)
| right_apart_point(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_126,plain,
( lhs_atom15(X1,X2,X3)
| right_apart_point(X2,X1)
| left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_127,plain,
( lhs_atom22(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_128,plain,
( lhs_atom22(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_129,plain,
( lhs_atom17(X1,X2,X3)
| distinct_points(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_130,plain,
( lhs_atom17(X1,X2,X3)
| incident_point_and_line(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_131,plain,
( lhs_atom17(X1,X2,X3)
| incident_point_and_line(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_132,plain,
( lhs_atom14(X2,X1)
| ~ unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_133,plain,
( lhs_atom27(X2,X1)
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_134,plain,
( lhs_atom6(X2,X1)
| ~ left_convergent_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_135,plain,
( lhs_atom4(X2,X1)
| ~ left_apart_point(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_136,plain,
( lhs_atom2(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_137,plain,
( left_convergent_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom35(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_138,plain,
( left_apart_point(X1,X2)
| distinct_points(X3,X1)
| lhs_atom34(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_139,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom26(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_140,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom24(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_141,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom22(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_142,plain,
( right_apart_point(X1,X2)
| left_apart_point(X1,X2)
| lhs_atom11(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_143,plain,
( lhs_atom12(X1,X2)
| ~ left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_144,plain,
( lhs_atom12(X1,X2)
| ~ right_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_145,plain,
( lhs_atom9(X2,X1)
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_146,plain,
( lhs_atom7(X2,X1)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_147,plain,
( left_convergent_lines(X1,reverse_line(X2))
| lhs_atom5(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_148,plain,
( left_apart_point(X1,reverse_line(X2))
| lhs_atom3(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_149,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_150,plain,
( lhs_atom13(X1,X2)
| unequally_directed_lines(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_151,plain,
( lhs_atom13(X1,X2)
| unequally_directed_opposite_lines(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_152,plain,
( unequally_directed_opposite_lines(X1,X2)
| lhs_atom10(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_153,plain,
( unequally_directed_lines(X1,X2)
| lhs_atom8(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_154,plain,
( lhs_atom29(X1,X2)
| ~ line(X1)
| ~ point(X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_155,plain,
( line(reverse_line(X1))
| lhs_atom30(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_156,plain,
lhs_atom33(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_157,plain,
lhs_atom31(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_158,plain,
lhs_atom32(X1),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_159,plain,
lhs_atom25(X1),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_160,plain,
lhs_atom23(X1),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_161,plain,
lhs_atom21(X1),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_162,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X2)
| ~ before_on_line(X1,X4,X3) ),
c_0_111,
[final] ).
cnf(c_0_163,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3) ),
c_0_112,
[final] ).
cnf(c_0_164,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X2,X3) ),
c_0_113,
[final] ).
cnf(c_0_165,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X3,X4) ),
c_0_114,
[final] ).
cnf(c_0_166,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
c_0_115,
[final] ).
cnf(c_0_167,plain,
( lhs_atom19(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X3,X4) ),
c_0_116,
[final] ).
cnf(c_0_168,plain,
( lhs_atom18(X1,X3,X2)
| ~ equally_directed_lines(X1,line_connecting(X2,X3))
| ~ incident_point_and_line(X3,X1)
| ~ incident_point_and_line(X2,X1)
| ~ distinct_points(X2,X3) ),
c_0_117,
[final] ).
cnf(c_0_169,plain,
( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
| lhs_atom22(X2,X1) ),
c_0_118,
[final] ).
cnf(c_0_170,plain,
( lhs_atom16(X1,X2,X3)
| ~ right_apart_point(X2,X1)
| ~ left_apart_point(X3,X1) ),
c_0_119,
[final] ).
cnf(c_0_171,plain,
( lhs_atom16(X1,X2,X3)
| ~ left_apart_point(X2,X1)
| ~ right_apart_point(X3,X1) ),
c_0_120,
[final] ).
cnf(c_0_172,plain,
( lhs_atom17(X1,X2,X3)
| equally_directed_lines(X1,line_connecting(X3,X2)) ),
c_0_121,
[final] ).
cnf(c_0_173,plain,
( lhs_atom28(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
c_0_122,
[final] ).
cnf(c_0_174,plain,
( lhs_atom15(X1,X2,X3)
| left_apart_point(X3,X1)
| right_apart_point(X3,X1) ),
c_0_123,
[final] ).
cnf(c_0_175,plain,
( lhs_atom15(X1,X2,X3)
| left_apart_point(X3,X1)
| left_apart_point(X2,X1) ),
c_0_124,
[final] ).
cnf(c_0_176,plain,
( lhs_atom15(X1,X2,X3)
| right_apart_point(X2,X1)
| right_apart_point(X3,X1) ),
c_0_125,
[final] ).
cnf(c_0_177,plain,
( lhs_atom15(X1,X2,X3)
| right_apart_point(X2,X1)
| left_apart_point(X2,X1) ),
c_0_126,
[final] ).
cnf(c_0_178,plain,
( lhs_atom22(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
c_0_127,
[final] ).
cnf(c_0_179,plain,
( lhs_atom22(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
c_0_128,
[final] ).
cnf(c_0_180,plain,
( lhs_atom17(X1,X2,X3)
| distinct_points(X3,X2) ),
c_0_129,
[final] ).
cnf(c_0_181,plain,
( lhs_atom17(X1,X2,X3)
| incident_point_and_line(X3,X1) ),
c_0_130,
[final] ).
cnf(c_0_182,plain,
( lhs_atom17(X1,X2,X3)
| incident_point_and_line(X2,X1) ),
c_0_131,
[final] ).
cnf(c_0_183,plain,
( lhs_atom14(X2,X1)
| ~ unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,X2) ),
c_0_132,
[final] ).
cnf(c_0_184,plain,
( lhs_atom27(X2,X1)
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
c_0_133,
[final] ).
cnf(c_0_185,plain,
( lhs_atom6(X2,X1)
| ~ left_convergent_lines(X1,reverse_line(X2)) ),
c_0_134,
[final] ).
cnf(c_0_186,plain,
( lhs_atom4(X2,X1)
| ~ left_apart_point(X1,reverse_line(X2)) ),
c_0_135,
[final] ).
cnf(c_0_187,plain,
( lhs_atom2(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
c_0_136,
[final] ).
cnf(c_0_188,plain,
( left_convergent_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom35(X3,X1) ),
c_0_137,
[final] ).
cnf(c_0_189,plain,
( left_apart_point(X1,X2)
| distinct_points(X3,X1)
| lhs_atom34(X2,X3) ),
c_0_138,
[final] ).
cnf(c_0_190,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom26(X1,X3) ),
c_0_139,
[final] ).
cnf(c_0_191,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom24(X1,X3) ),
c_0_140,
[final] ).
cnf(c_0_192,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom22(X1,X3) ),
c_0_141,
[final] ).
cnf(c_0_193,plain,
( right_apart_point(X1,X2)
| left_apart_point(X1,X2)
| lhs_atom11(X2,X1) ),
c_0_142,
[final] ).
cnf(c_0_194,plain,
( lhs_atom12(X1,X2)
| ~ left_apart_point(X2,X1) ),
c_0_143,
[final] ).
cnf(c_0_195,plain,
( lhs_atom12(X1,X2)
| ~ right_apart_point(X2,X1) ),
c_0_144,
[final] ).
cnf(c_0_196,plain,
( lhs_atom9(X2,X1)
| ~ unequally_directed_opposite_lines(X1,X2) ),
c_0_145,
[final] ).
cnf(c_0_197,plain,
( lhs_atom7(X2,X1)
| ~ unequally_directed_lines(X1,X2) ),
c_0_146,
[final] ).
cnf(c_0_198,plain,
( left_convergent_lines(X1,reverse_line(X2))
| lhs_atom5(X2,X1) ),
c_0_147,
[final] ).
cnf(c_0_199,plain,
( left_apart_point(X1,reverse_line(X2))
| lhs_atom3(X2,X1) ),
c_0_148,
[final] ).
cnf(c_0_200,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| lhs_atom1(X2,X1) ),
c_0_149,
[final] ).
cnf(c_0_201,plain,
( lhs_atom13(X1,X2)
| unequally_directed_lines(X2,X1) ),
c_0_150,
[final] ).
cnf(c_0_202,plain,
( lhs_atom13(X1,X2)
| unequally_directed_opposite_lines(X2,X1) ),
c_0_151,
[final] ).
cnf(c_0_203,plain,
( unequally_directed_opposite_lines(X1,X2)
| lhs_atom10(X2,X1) ),
c_0_152,
[final] ).
cnf(c_0_204,plain,
( unequally_directed_lines(X1,X2)
| lhs_atom8(X2,X1) ),
c_0_153,
[final] ).
cnf(c_0_205,plain,
( lhs_atom29(X1,X2)
| ~ line(X1)
| ~ point(X2) ),
c_0_154,
[final] ).
cnf(c_0_206,plain,
( line(reverse_line(X1))
| lhs_atom30(X1) ),
c_0_155,
[final] ).
cnf(c_0_207,plain,
lhs_atom33(X1,X2),
c_0_156,
[final] ).
cnf(c_0_208,plain,
lhs_atom31(X1,X2),
c_0_157,
[final] ).
cnf(c_0_209,plain,
lhs_atom32(X1),
c_0_158,
[final] ).
cnf(c_0_210,plain,
lhs_atom25(X1),
c_0_159,
[final] ).
cnf(c_0_211,plain,
lhs_atom23(X1),
c_0_160,
[final] ).
cnf(c_0_212,plain,
lhs_atom21(X1),
c_0_161,
[final] ).
% End CNF derivation
cnf(c_0_162_0,axiom,
( between_on_line(X1,X4,X3,X2)
| ~ before_on_line(X1,X3,X2)
| ~ before_on_line(X1,X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom20]) ).
cnf(c_0_163_0,axiom,
( between_on_line(X1,X4,X3,X2)
| ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom20]) ).
cnf(c_0_164_0,axiom,
( ~ between_on_line(X1,X4,X3,X2)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom19]) ).
cnf(c_0_165_0,axiom,
( ~ between_on_line(X1,X4,X3,X2)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom19]) ).
cnf(c_0_166_0,axiom,
( ~ between_on_line(X1,X4,X3,X2)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom19]) ).
cnf(c_0_167_0,axiom,
( ~ between_on_line(X1,X4,X3,X2)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom19]) ).
cnf(c_0_168_0,axiom,
( before_on_line(X1,X2,X3)
| ~ equally_directed_lines(X1,line_connecting(X2,X3))
| ~ incident_point_and_line(X3,X1)
| ~ incident_point_and_line(X2,X1)
| ~ distinct_points(X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom18]) ).
cnf(c_0_169_0,axiom,
( ~ distinct_points(X1,X2)
| equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom22]) ).
cnf(c_0_170_0,axiom,
( divides_points(X1,X3,X2)
| ~ right_apart_point(X2,X1)
| ~ left_apart_point(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom16]) ).
cnf(c_0_171_0,axiom,
( divides_points(X1,X3,X2)
| ~ left_apart_point(X2,X1)
| ~ right_apart_point(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom16]) ).
cnf(c_0_172_0,axiom,
( ~ before_on_line(X1,X3,X2)
| equally_directed_lines(X1,line_connecting(X3,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom17]) ).
cnf(c_0_173_0,axiom,
( point(intersection_point(X1,X2))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom28]) ).
cnf(c_0_174_0,axiom,
( ~ divides_points(X1,X3,X2)
| left_apart_point(X3,X1)
| right_apart_point(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom15]) ).
cnf(c_0_175_0,axiom,
( ~ divides_points(X1,X3,X2)
| left_apart_point(X3,X1)
| left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom15]) ).
cnf(c_0_176_0,axiom,
( ~ divides_points(X1,X3,X2)
| right_apart_point(X2,X1)
| right_apart_point(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom15]) ).
cnf(c_0_177_0,axiom,
( ~ divides_points(X1,X3,X2)
| right_apart_point(X2,X1)
| left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom15]) ).
cnf(c_0_178_0,axiom,
( ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom22]) ).
cnf(c_0_179_0,axiom,
( ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom22]) ).
cnf(c_0_180_0,axiom,
( ~ before_on_line(X1,X3,X2)
| distinct_points(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom17]) ).
cnf(c_0_181_0,axiom,
( ~ before_on_line(X1,X3,X2)
| incident_point_and_line(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom17]) ).
cnf(c_0_182_0,axiom,
( ~ before_on_line(X1,X3,X2)
| incident_point_and_line(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom17]) ).
cnf(c_0_183_0,axiom,
( convergent_lines(X1,X2)
| ~ unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom14]) ).
cnf(c_0_184_0,axiom,
( line(line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom27]) ).
cnf(c_0_185_0,axiom,
( right_convergent_lines(X1,X2)
| ~ left_convergent_lines(X1,reverse_line(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom6]) ).
cnf(c_0_186_0,axiom,
( right_apart_point(X1,X2)
| ~ left_apart_point(X1,reverse_line(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom4]) ).
cnf(c_0_187_0,axiom,
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom2]) ).
cnf(c_0_188_0,axiom,
( ~ left_convergent_lines(X1,X3)
| left_convergent_lines(X1,X2)
| unequally_directed_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom35]) ).
cnf(c_0_189_0,axiom,
( ~ left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| distinct_points(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom34]) ).
cnf(c_0_190_0,axiom,
( ~ unequally_directed_lines(X3,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom26]) ).
cnf(c_0_191_0,axiom,
( ~ distinct_lines(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom24]) ).
cnf(c_0_192_0,axiom,
( ~ distinct_points(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom22]) ).
cnf(c_0_193_0,axiom,
( ~ apart_point_and_line(X1,X2)
| right_apart_point(X1,X2)
| left_apart_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom11]) ).
cnf(c_0_194_0,axiom,
( apart_point_and_line(X2,X1)
| ~ left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom12]) ).
cnf(c_0_195_0,axiom,
( apart_point_and_line(X2,X1)
| ~ right_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom12]) ).
cnf(c_0_196_0,axiom,
( ~ equally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom9]) ).
cnf(c_0_197_0,axiom,
( ~ equally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom7]) ).
cnf(c_0_198_0,axiom,
( ~ right_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom5]) ).
cnf(c_0_199_0,axiom,
( ~ right_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom3]) ).
cnf(c_0_200_0,axiom,
( ~ unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom1]) ).
cnf(c_0_201_0,axiom,
( ~ convergent_lines(X2,X1)
| unequally_directed_lines(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom13]) ).
cnf(c_0_202_0,axiom,
( ~ convergent_lines(X2,X1)
| unequally_directed_opposite_lines(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom13]) ).
cnf(c_0_203_0,axiom,
( equally_directed_opposite_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom10]) ).
cnf(c_0_204_0,axiom,
( equally_directed_lines(X1,X2)
| unequally_directed_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom8]) ).
cnf(c_0_205_0,axiom,
( line(parallel_through_point(X1,X2))
| ~ line(X1)
| ~ point(X2) ),
inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom29]) ).
cnf(c_0_206_0,axiom,
( ~ line(X1)
| line(reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom30]) ).
cnf(c_0_207_0,axiom,
equally_directed_lines(parallel_through_point(X1,X2),X1),
inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom33]) ).
cnf(c_0_208_0,axiom,
~ apart_point_and_line(X2,parallel_through_point(X1,X2)),
inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom31]) ).
cnf(c_0_209_0,axiom,
~ distinct_lines(X1,reverse_line(X1)),
inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom32]) ).
cnf(c_0_210_0,axiom,
equally_directed_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_210,def_lhs_atom25]) ).
cnf(c_0_211_0,axiom,
~ distinct_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_211,def_lhs_atom23]) ).
cnf(c_0_212_0,axiom,
~ distinct_points(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_212,def_lhs_atom21]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X4,X2,X3] :
( ( distinct_points(X1,X4)
& distinct_lines(X2,X3) )
=> ( left_apart_point(X1,X2)
| left_apart_point(X4,X2)
| left_apart_point(X1,X3)
| left_apart_point(X4,X3)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X4,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X4,reverse_line(X3)) ) ),
file('<stdin>',ax1_uniq_cons) ).
fof(c_0_1_002,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( ~ apart_point_and_line(intersection_point(X2,X3),X2)
& ~ apart_point_and_line(intersection_point(X2,X3),X3) ) ),
file('<stdin>',ax6_cons_objs) ).
fof(c_0_2_003,axiom,
! [X1,X4,X2] :
( ( distinct_points(X1,X4)
& left_apart_point(X1,X2) )
=> ( left_apart_point(X4,X2)
| left_convergent_lines(line_connecting(X1,X4),X2) ) ),
file('<stdin>',ax2_uniq_cons) ).
fof(c_0_3_004,axiom,
! [X2,X3,X5] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( ( unequally_directed_lines(X2,X5)
& unequally_directed_lines(X2,reverse_line(X5)) )
| ( unequally_directed_lines(X3,X5)
& unequally_directed_lines(X3,reverse_line(X5)) ) ) ),
file('<stdin>',ax7_basics) ).
fof(c_0_4_005,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('<stdin>',ax9_basics) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3] :
( ( left_apart_point(X1,X2)
& unequally_directed_lines(X2,X3) )
=> ( distinct_lines(X2,X3)
| left_apart_point(X1,reverse_line(X3)) ) ),
file('<stdin>',ax2_subs) ).
fof(c_0_6_007,axiom,
! [X2,X3] :
( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ),
file('<stdin>',ax8_basics) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('<stdin>',ax10_basics) ).
fof(c_0_8_009,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('<stdin>',ax11_basics) ).
fof(c_0_9_010,axiom,
! [X1,X4,X2,X3] :
( ( distinct_points(X1,X4)
& distinct_lines(X2,X3) )
=> ( left_apart_point(X1,X2)
| left_apart_point(X4,X2)
| left_apart_point(X1,X3)
| left_apart_point(X4,X3)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X4,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X4,reverse_line(X3)) ) ),
c_0_0 ).
fof(c_0_10_011,plain,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( ~ apart_point_and_line(intersection_point(X2,X3),X2)
& ~ apart_point_and_line(intersection_point(X2,X3),X3) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_11_012,axiom,
! [X1,X4,X2] :
( ( distinct_points(X1,X4)
& left_apart_point(X1,X2) )
=> ( left_apart_point(X4,X2)
| left_convergent_lines(line_connecting(X1,X4),X2) ) ),
c_0_2 ).
fof(c_0_12_013,axiom,
! [X2,X3,X5] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( ( unequally_directed_lines(X2,X5)
& unequally_directed_lines(X2,reverse_line(X5)) )
| ( unequally_directed_lines(X3,X5)
& unequally_directed_lines(X3,reverse_line(X5)) ) ) ),
c_0_3 ).
fof(c_0_13_014,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
c_0_4 ).
fof(c_0_14_015,axiom,
! [X1,X2,X3] :
( ( left_apart_point(X1,X2)
& unequally_directed_lines(X2,X3) )
=> ( distinct_lines(X2,X3)
| left_apart_point(X1,reverse_line(X3)) ) ),
c_0_5 ).
fof(c_0_15_016,axiom,
! [X2,X3] :
( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ),
c_0_6 ).
fof(c_0_16_017,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
c_0_7 ).
fof(c_0_17_018,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
c_0_8 ).
fof(c_0_18_019,plain,
! [X5,X6,X7,X8] :
( ~ distinct_points(X5,X6)
| ~ distinct_lines(X7,X8)
| left_apart_point(X5,X7)
| left_apart_point(X6,X7)
| left_apart_point(X5,X8)
| left_apart_point(X6,X8)
| left_apart_point(X5,reverse_line(X7))
| left_apart_point(X6,reverse_line(X7))
| left_apart_point(X5,reverse_line(X8))
| left_apart_point(X6,reverse_line(X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_19_020,plain,
! [X4,X5] :
( ( ~ apart_point_and_line(intersection_point(X4,X5),X4)
| ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5)) )
& ( ~ apart_point_and_line(intersection_point(X4,X5),X5)
| ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_20_021,plain,
! [X5,X6,X7] :
( ~ distinct_points(X5,X6)
| ~ left_apart_point(X5,X7)
| left_apart_point(X6,X7)
| left_convergent_lines(line_connecting(X5,X6),X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_21_022,plain,
! [X6,X7,X8] :
( ( unequally_directed_lines(X7,X8)
| unequally_directed_lines(X6,X8)
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_lines(X6,X8)
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X7,X8)
| unequally_directed_lines(X6,reverse_line(X8))
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_lines(X6,reverse_line(X8))
| ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_22_023,plain,
! [X4,X5] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_23_024,plain,
! [X4,X5,X6] :
( ~ left_apart_point(X4,X5)
| ~ unequally_directed_lines(X5,X6)
| distinct_lines(X5,X6)
| left_apart_point(X4,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_24_025,plain,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_25_026,plain,
! [X3,X4,X5,X6] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X5,reverse_line(X6)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_26_027,plain,
! [X4,X5,X6,X7] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_27_028,plain,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_029,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29_030,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30_031,plain,
( left_convergent_lines(line_connecting(X1,X2),X3)
| left_apart_point(X2,X3)
| ~ left_apart_point(X1,X3)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31_032,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32_033,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33_034,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34_035,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35_036,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36_037,plain,
( left_apart_point(X1,reverse_line(X2))
| distinct_lines(X3,X2)
| ~ unequally_directed_lines(X3,X2)
| ~ left_apart_point(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37_038,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38_039,plain,
~ left_apart_point(X1,reverse_line(X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39_040,plain,
~ left_convergent_lines(X1,reverse_line(X2)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40_041,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41_042,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42_043,plain,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
c_0_27,
[final] ).
cnf(c_0_43_044,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
c_0_28,
[final] ).
cnf(c_0_44_045,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
c_0_29,
[final] ).
cnf(c_0_45_046,plain,
( left_convergent_lines(line_connecting(X1,X2),X3)
| left_apart_point(X2,X3)
| ~ left_apart_point(X1,X3)
| ~ distinct_points(X1,X2) ),
c_0_30,
[final] ).
cnf(c_0_46_047,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
c_0_31,
[final] ).
cnf(c_0_47_048,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
c_0_32,
[final] ).
cnf(c_0_48_049,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
c_0_33,
[final] ).
cnf(c_0_49_050,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
c_0_34,
[final] ).
cnf(c_0_50_051,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
c_0_35,
[final] ).
cnf(c_0_51_052,plain,
( left_apart_point(X1,reverse_line(X2))
| distinct_lines(X3,X2)
| ~ unequally_directed_lines(X3,X2)
| ~ left_apart_point(X1,X3) ),
c_0_36,
[final] ).
cnf(c_0_52_053,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
c_0_37,
[final] ).
cnf(c_0_53_054,plain,
~ left_apart_point(X1,reverse_line(X2)),
c_0_38,
[final] ).
cnf(c_0_54_055,plain,
~ left_convergent_lines(X1,reverse_line(X2)),
c_0_39,
[final] ).
cnf(c_0_55_056,plain,
~ left_apart_point(X1,X2),
c_0_40,
[final] ).
cnf(c_0_56_057,plain,
~ left_convergent_lines(X1,X2),
c_0_41,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_42_0,axiom,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_1,axiom,
( left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_2,axiom,
( left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_3,axiom,
( left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_4,axiom,
( left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,X2)
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_5,axiom,
( left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X4)
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_6,axiom,
( left_apart_point(X1,X4)
| left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X3,X4)
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_7,axiom,
( left_apart_point(X3,X4)
| left_apart_point(X1,X4)
| left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_lines(X4,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_8,axiom,
( ~ distinct_lines(X4,X2)
| left_apart_point(X3,X4)
| left_apart_point(X1,X4)
| left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_9,axiom,
( ~ distinct_points(X3,X1)
| ~ distinct_lines(X4,X2)
| left_apart_point(X3,X4)
| left_apart_point(X1,X4)
| left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| left_apart_point(X3,reverse_line(X4))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X3,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_43_0,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_1,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_2,axiom,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_44_0,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_1,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_2,axiom,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
( left_convergent_lines(line_connecting(X1,X2),X3)
| left_apart_point(X2,X3)
| ~ left_apart_point(X1,X3)
| ~ distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_1,axiom,
( left_apart_point(X2,X3)
| left_convergent_lines(line_connecting(X1,X2),X3)
| ~ left_apart_point(X1,X3)
| ~ distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_2,axiom,
( ~ left_apart_point(X1,X3)
| left_apart_point(X2,X3)
| left_convergent_lines(line_connecting(X1,X2),X3)
| ~ distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_3,axiom,
( ~ distinct_points(X1,X2)
| ~ left_apart_point(X1,X3)
| left_apart_point(X2,X3)
| left_convergent_lines(line_connecting(X1,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_1,axiom,
( unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X1,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_2,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X1,reverse_line(X3))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_3,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X1,reverse_line(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_0,axiom,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_1,axiom,
( unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X1,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_2,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X1,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_3,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_0,axiom,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,reverse_line(X3))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_3,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,reverse_line(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_1,axiom,
( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_2,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_3,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_50_0,axiom,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_1,axiom,
( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_2,axiom,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_3,axiom,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_0,axiom,
( left_apart_point(X1,reverse_line(X2))
| distinct_lines(X3,X2)
| ~ unequally_directed_lines(X3,X2)
| ~ left_apart_point(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_1,axiom,
( distinct_lines(X3,X2)
| left_apart_point(X1,reverse_line(X2))
| ~ unequally_directed_lines(X3,X2)
| ~ left_apart_point(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_2,axiom,
( ~ unequally_directed_lines(X3,X2)
| distinct_lines(X3,X2)
| left_apart_point(X1,reverse_line(X2))
| ~ left_apart_point(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_3,axiom,
( ~ left_apart_point(X1,X3)
| ~ unequally_directed_lines(X3,X2)
| distinct_lines(X3,X2)
| left_apart_point(X1,reverse_line(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_0,axiom,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_1,axiom,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_0,axiom,
~ left_apart_point(X1,reverse_line(X2)),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_0,axiom,
~ left_convergent_lines(X1,reverse_line(X2)),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_0,axiom,
~ left_apart_point(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_0,axiom,
~ left_convergent_lines(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_058,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( left_apart_point(X1,X5)
& left_apart_point(X1,X6)
& right_apart_point(X2,X5)
& right_apart_point(X2,X6)
& left_apart_point(X3,X5)
& right_apart_point(X3,X6)
& right_apart_point(X4,X5)
& left_apart_point(X4,X6) )
=> convergent_lines(X5,X6) ),
file('<stdin>',con) ).
fof(c_0_1_059,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( left_apart_point(X1,X5)
& left_apart_point(X1,X6)
& right_apart_point(X2,X5)
& right_apart_point(X2,X6)
& left_apart_point(X3,X5)
& right_apart_point(X3,X6)
& right_apart_point(X4,X5)
& left_apart_point(X4,X6) )
=> convergent_lines(X5,X6) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_060,negated_conjecture,
( left_apart_point(esk1_0,esk5_0)
& left_apart_point(esk1_0,esk6_0)
& right_apart_point(esk2_0,esk5_0)
& right_apart_point(esk2_0,esk6_0)
& left_apart_point(esk3_0,esk5_0)
& right_apart_point(esk3_0,esk6_0)
& right_apart_point(esk4_0,esk5_0)
& left_apart_point(esk4_0,esk6_0)
& ~ convergent_lines(esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_061,negated_conjecture,
~ convergent_lines(esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_062,negated_conjecture,
left_apart_point(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_063,negated_conjecture,
left_apart_point(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_064,negated_conjecture,
right_apart_point(esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_065,negated_conjecture,
right_apart_point(esk2_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_066,negated_conjecture,
left_apart_point(esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_067,negated_conjecture,
right_apart_point(esk3_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_068,negated_conjecture,
right_apart_point(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_069,negated_conjecture,
left_apart_point(esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12_070,negated_conjecture,
~ convergent_lines(esk5_0,esk6_0),
c_0_3,
[final] ).
cnf(c_0_13_071,negated_conjecture,
left_apart_point(esk1_0,esk5_0),
c_0_4,
[final] ).
cnf(c_0_14_072,negated_conjecture,
left_apart_point(esk1_0,esk6_0),
c_0_5,
[final] ).
cnf(c_0_15_073,negated_conjecture,
right_apart_point(esk2_0,esk5_0),
c_0_6,
[final] ).
cnf(c_0_16_074,negated_conjecture,
right_apart_point(esk2_0,esk6_0),
c_0_7,
[final] ).
cnf(c_0_17_075,negated_conjecture,
left_apart_point(esk3_0,esk5_0),
c_0_8,
[final] ).
cnf(c_0_18_076,negated_conjecture,
right_apart_point(esk3_0,esk6_0),
c_0_9,
[final] ).
cnf(c_0_19_077,negated_conjecture,
right_apart_point(esk4_0,esk5_0),
c_0_10,
[final] ).
cnf(c_0_20_078,negated_conjecture,
left_apart_point(esk4_0,esk6_0),
c_0_11,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_102,negated_conjecture,
left_apart_point(sk3_esk1_0,sk3_esk5_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f41ba8.p',c_0_13) ).
cnf(c_157,negated_conjecture,
left_apart_point(sk3_esk1_0,sk3_esk5_0),
inference(copy,[status(esa)],[c_102]) ).
cnf(c_192,negated_conjecture,
left_apart_point(sk3_esk1_0,sk3_esk5_0),
inference(copy,[status(esa)],[c_157]) ).
cnf(c_207,negated_conjecture,
left_apart_point(sk3_esk1_0,sk3_esk5_0),
inference(copy,[status(esa)],[c_192]) ).
cnf(c_210,negated_conjecture,
left_apart_point(sk3_esk1_0,sk3_esk5_0),
inference(copy,[status(esa)],[c_207]) ).
cnf(c_532,negated_conjecture,
left_apart_point(sk3_esk1_0,sk3_esk5_0),
inference(copy,[status(esa)],[c_210]) ).
cnf(c_48,plain,
~ left_apart_point(X0,X1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f41ba8.p',c_0_55_0) ).
cnf(c_424,plain,
~ left_apart_point(X0,X1),
inference(copy,[status(esa)],[c_48]) ).
cnf(c_549,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_532,c_424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 20:29:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.12/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40 % FOF problem with conjecture
% 0.12/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c75d36.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_f41ba8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_5fc006 | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c75d36.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality false
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c75d36.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 %
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % Resolution empty clause
% 0.20/0.44
% 0.20/0.44 % ------ Statistics
% 0.20/0.44
% 0.20/0.44 % ------ General
% 0.20/0.44
% 0.20/0.44 % num_of_input_clauses: 110
% 0.20/0.44 % num_of_input_neg_conjectures: 9
% 0.20/0.44 % num_of_splits: 0
% 0.20/0.44 % num_of_split_atoms: 0
% 0.20/0.44 % num_of_sem_filtered_clauses: 0
% 0.20/0.44 % num_of_subtypes: 0
% 0.20/0.44 % monotx_restored_types: 0
% 0.20/0.44 % sat_num_of_epr_types: 0
% 0.20/0.44 % sat_num_of_non_cyclic_types: 0
% 0.20/0.44 % sat_guarded_non_collapsed_types: 0
% 0.20/0.44 % is_epr: 0
% 0.20/0.44 % is_horn: 0
% 0.20/0.44 % has_eq: 0
% 0.20/0.44 % num_pure_diseq_elim: 0
% 0.20/0.44 % simp_replaced_by: 0
% 0.20/0.44 % res_preprocessed: 18
% 0.20/0.44 % prep_upred: 0
% 0.20/0.44 % prep_unflattend: 0
% 0.20/0.44 % pred_elim_cands: 0
% 0.20/0.44 % pred_elim: 0
% 0.20/0.44 % pred_elim_cl: 0
% 0.20/0.44 % pred_elim_cycles: 0
% 0.20/0.44 % forced_gc_time: 0
% 0.20/0.44 % gc_basic_clause_elim: 0
% 0.20/0.44 % parsing_time: 0.004
% 0.20/0.44 % sem_filter_time: 0.
% 0.20/0.44 % pred_elim_time: 0.
% 0.20/0.44 % out_proof_time: 0.
% 0.20/0.44 % monotx_time: 0.
% 0.20/0.44 % subtype_inf_time: 0.
% 0.20/0.44 % unif_index_cands_time: 0.
% 0.20/0.44 % unif_index_add_time: 0.
% 0.20/0.44 % total_time: 0.03
% 0.20/0.44 % num_of_symbols: 53
% 0.20/0.44 % num_of_terms: 284
% 0.20/0.44
% 0.20/0.44 % ------ Propositional Solver
% 0.20/0.44
% 0.20/0.44 % prop_solver_calls: 1
% 0.20/0.44 % prop_fast_solver_calls: 27
% 0.20/0.44 % prop_num_of_clauses: 126
% 0.20/0.44 % prop_preprocess_simplified: 368
% 0.20/0.44 % prop_fo_subsumed: 0
% 0.20/0.44 % prop_solver_time: 0.
% 0.20/0.44 % prop_fast_solver_time: 0.
% 0.20/0.44 % prop_unsat_core_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ QBF
% 0.20/0.44
% 0.20/0.44 % qbf_q_res: 0
% 0.20/0.44 % qbf_num_tautologies: 0
% 0.20/0.44 % qbf_prep_cycles: 0
% 0.20/0.44
% 0.20/0.44 % ------ BMC1
% 0.20/0.44
% 0.20/0.44 % bmc1_current_bound: -1
% 0.20/0.44 % bmc1_last_solved_bound: -1
% 0.20/0.44 % bmc1_unsat_core_size: -1
% 0.20/0.44 % bmc1_unsat_core_parents_size: -1
% 0.20/0.44 % bmc1_merge_next_fun: 0
% 0.20/0.44 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation
% 0.20/0.44
% 0.20/0.44 % inst_num_of_clauses: 110
% 0.20/0.44 % inst_num_in_passive: 0
% 0.20/0.44 % inst_num_in_active: 0
% 0.20/0.44 % inst_num_in_unprocessed: 110
% 0.20/0.44 % inst_num_of_loops: 0
% 0.20/0.44 % inst_num_of_learning_restarts: 0
% 0.20/0.44 % inst_num_moves_active_passive: 0
% 0.20/0.44 % inst_lit_activity: 0
% 0.20/0.44 % inst_lit_activity_moves: 0
% 0.20/0.44 % inst_num_tautologies: 0
% 0.20/0.44 % inst_num_prop_implied: 0
% 0.20/0.44 % inst_num_existing_simplified: 0
% 0.20/0.44 % inst_num_eq_res_simplified: 0
% 0.20/0.44 % inst_num_child_elim: 0
% 0.20/0.44 % inst_num_of_dismatching_blockings: 0
% 0.20/0.44 % inst_num_of_non_proper_insts: 0
% 0.20/0.44 % inst_num_of_duplicates: 0
% 0.20/0.44 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.44 % inst_dismatching_checking_time: 0.
% 0.20/0.44
% 0.20/0.44 % ------ Resolution
% 0.20/0.44
% 0.20/0.44 % res_num_of_clauses: 145
% 0.20/0.44 % res_num_in_passive: 8
% 0.20/0.44 % res_num_in_active: 75
% 0.20/0.44 % res_num_of_loops: 1
% 0.20/0.44 % res_forward_subset_subsumed: 25
% 0.20/0.44 % res_backward_subset_subsumed: 1
% 0.20/0.44 % res_forward_subsumed: 0
% 0.20/0.44 % res_backward_subsumed: 0
% 0.20/0.44 % res_forward_subsumption_resolution: 1
% 0.20/0.44 % res_backward_subsumption_resolution: 0
% 0.20/0.44 % res_clause_to_clause_subsumption: 1
% 0.20/0.44 % res_orphan_elimination: 0
% 0.20/0.44 % res_tautology_del: 0
% 0.20/0.44 % res_num_eq_res_simplified: 0
% 0.20/0.44 % res_num_sel_changes: 0
% 0.20/0.44 % res_moves_from_active_to_pass: 0
% 0.20/0.44
% 0.20/0.44 % Status Unsatisfiable
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------